Resource Lesson
Properties of Plane Mirrors
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For flat mirrors the
Law of Plane Mirrors
states that "the image is always the same distance behind the mirror as the object is in front of the mirror." The image, I, and the object, O, always line up along the same normal. The image is upright, but left-right reversed.
Notice that the rays entering the eye are diverged from the mirror's surface. Since the eye has to "dot back" the rays to form an image, this image is virtual - a cool image, trapped within the mirror. Take a moment to examine a
demonstration
of the formation of the virtual image of a lit candle.
As mentioned earlier, the Law of Plane Mirrors states that d
i
= -d
o
. This reflection, like ALL reflections, obeys the
Law of Reflection:
the angle of incidence equals the angle of reflection. Note that these angles are measured from the normal to either the incident or reflected rays.
The following diagram illustrates that the minimum length of a plane mirror required for someone to view their entire image equals half their height. Note that the top of the mirror should be placed at eye level.
The previous diagram also emphasizes the fact that the size of the image equals the size of the object; that is, the magnification of a plane mirror equals one. Recall that magnification is calculated using the formula:
Rough surfaces
are defined as those on which successive elevations vary by more than 1/8
th
of the incident radiation's wavelength. These surfaces scatter the light and produce what is called a
diffuse reflection
. Note that all reflections obey the law of reflection, but because of the "tilted" nature of rough surfaces, incident parallel rays are not reflected parallel to each other. Surfaces from which incident parallel rays of light remain parallel after being reflected are called
polished surfaces
and this type of reflection is called a
specular reflection
. Surfaces which are smooth for long wavelengths can therefore be rough for shorter wavelengths - hence the use of wire mesh antennas for radio astronomy and polished mirrors for visible astronomy.
When more than one plane mirror is used, multiple images are formed. Take a moment to view the following
two demonstrations
which show the production of infinite images when two plane mirrors are placed parallel to each other or when three plane mirrors are placed in an equilateral triangle. To practice, please reference the
following diagrams
.
Locate the images: P
1
, P
2
, P
12
, P
21
, P
121
, and P
212
. Label all images of P
1
in one color and all images of P
2
in a second color.
Locate P
1
and P
2
. Draw in the rays which are used to sight each of these images. Use one color for both rays for P
1
and a second color for the rays for P
2
. Finally, locate P
12
and P
21
.
Locate P
2
and P
21
. Then ONLY draw in the rays which are used to sight P
21
. Use one color for the ray that enters the top of the eye, a second color for the one that enters the bottom of the eye.
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Blank Ray Diagrams for Converging, Concave, Mirrors
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Blank Ray Diagrams for Diverging Lenses
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Blank Ray Diagrams for Diverging, Convex, Mirrors
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Ray Diagrams for Diverging Lenses
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Ray Diagrams for Diverging Mirrors
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Target Practice - Revised
Resource Lesson:
RL -
A Derivation of Snell's Law
RL -
Converging Lens Examples
RL -
Converging Lenses
RL -
Demonstration: Infinite Images
RL -
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Diverging Lenses
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Double Lens Systems
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Lensmaker Equation
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Mirror Equation
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Refraction of Light
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Refraction Phenomena
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Snell's Law
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Spherical Mirrors
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Thin Lens Equation
Review:
REV -
Drill: Reflection and Mirrors
REV -
Mirror Properties
REV -
Physics I Honors: 2nd 9-week notebook
REV -
Physics I: 2nd 9-week notebook
REV -
Spherical Lens Properties
Worksheet:
APP -
Enlightened
APP -
Reflections
APP -
The Librarian
APP -
The Starlet
CP -
Lenses
CP -
Plane Mirror Reflections
CP -
Refraction of Light
CP -
Snell's Law
CP -
Snell's Law
NT -
Image Distances
NT -
Laser Fishing
NT -
Mirror Height
NT -
Mirror Length
NT -
Reflection
NT -
Underwater Vision
WS -
An Extension of Snell's Law
WS -
Basic Principles of Refraction
WS -
Converging Lens Vocabulary
WS -
Diverging Lens Vocabulary
WS -
Lensmaker Equation
WS -
Plane Mirror Reflections
WS -
Refraction and Critical Angles
WS -
Refraction Phenomena
WS -
Refraction Through a Circular Disk
WS -
Refraction Through a Glass Plate
WS -
Refraction Through a Triangle
WS -
Snell's Law Calculations
WS -
Spherical Mirror Equation #1
WS -
Spherical Mirror Equation #2
WS -
Spherical Mirrors: Image Patterns
WS -
Thin Lens Equation #1: Converging Lenses
WS -
Thin Lens Equation #2: Converging Lenses
WS -
Thin Lens Equation #3: Both Types
WS -
Thin Lens Equation #4: Both Types
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Two-Lens Worksheet
WS -
Two-Mirror Worksheet
TB -
27B: Properties of Light and Refraction
TB -
Refraction Phenomena Reading Questions
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